# The Arithmetic of Elliptic Curves

## Joseph H. Silverman

Valutazione media 4,17
( su 29 valutazioni fornite da GoodReads )

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

From the reviews of the second edition:

"This well-written book covers the basic facts about the geometry and arithmetic of elliptic curves, and is sure to become the standard reference in the subject. It meets the needs of at least three groups of people: students interested in doing research in Diophantine geometry, mathematicians needing a reference for standard facts about elliptic curves, and computer scientists interested in algorithms and needing an introduction to elliptic curves..."-- MATHEMATICAL REVIEWS

“The book under review is the second, revised, enlarged, and updated edition of J. Silverman’s meanwhile classical primer of the arithmetic of elliptic curves. … All together, this enlarged and updated version of J. Silverman’s classic ‘The Arithmetic of Elliptic Curves’ significantly increases the unchallenged value of this modern primer as a standard textbook in the field. … This makes the entire text a perfect source for teachers and students, for courses and self-study, and for further studies in the arithmetic of elliptic curves likewise.” (Werner Kleinert, Zentralblatt MATH, Vol. 1194, 2010)

“For the second edition of his masterly book, the author considerably updated and improved several results and proofs. … book contains a great many exercises, many of which develop or complement the results from the main body of the book. … The reference list contains 317 items and reflects both classical and recent achievements on the topic. Notes on the exercises are an aid to the reader. … Summarizing, this is an excellent book … . useful both for experienced mathematicians and for graduate students.”­­­ (Vasil' I. Andri?chuk, Mathematical Reviews, Issue 2010 i)

“This is the second edition of an excellent textbook on the arithmetical theory of elliptic curves … . Although there are now a number of good books on this topic it has stood the test of time and become a popular introductory text and a standard reference. … The author has added remarks which point out their significance and connection to those parts of the theory he presents. These will give readers a good start if they want to study one of them.” (Ch. Baxa, Monatshefte für Mathematik, Vol. 164 (3), November, 2011)

“The book is written for graduate students … and for researchers interested in standard facts about elliptic curves. … A wonderful textbook on the arithmetic theory of elliptic curves and it is a very popular introduction to the subject. … I recommend this book for anyone interested in the mathematical study of elliptic curves. It is an excellent introduction, elegant and very well written. It is one of the best textbooks to graduate level studies I have ever had contact yet.” (Book Inspections Blog, 2012)

L'autore:

Dr. Joseph Silverman is a professor at Brown University and has been an instructor or professors since 1982. He was the Chair of the Brown Mathematics department from 2001-2004. He has received numerous fellowships, grants and awards, as well as being a frequently invited lecturer. He is currently a member of the Council of the American Mathematical Society. His research areas of interest are number theory, arithmetic geometry, elliptic curves, dynamical systems and cryptography. He has co-authored over 120 publications and has had over 20 doctoral students under his tutelage. He has published 9 highly successful books with Springer, including the recently released, An Introduction to Mathematical Cryptography, for Undergraduate Texts in Mathematics.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Compra nuovo Guarda l'articolo
EUR 41,87

Spese di spedizione: EUR 3,60
Da: India a: U.S.A.

Destinazione, tempi e costi

Aggiungere al carrello

## 1.The Arithmetic Of Elliptic Curves 2Ed (Hb 2009)

ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuovi Rilegato Quantità: 3
Da
bookscollection
(Delhi, DELHI, India)
Valutazione libreria

Descrizione libro Condizione libro: Brand New. U.S.Edition ,Brand New,Hardcover,Perfect Condition. Printed in English. excellent Quality, and customer satisfaction guaranteed. NO CD ROM & NO ACCESS CODE.We Do not Ship APO FPO AND PO BOX. Codice libro della libreria ABEKHST084

Compra nuovo
EUR 41,87
Convertire valuta
Spese di spedizione: EUR 3,60
Da: India a: U.S.A.
Destinazione, tempi e costi

## 2.The Arithmetic of Elliptic Curves (Hardback)

Editore: Springer-Verlag New York Inc., United States (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuovi Rilegato Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., United States, 2009. Hardback. Condizione libro: New. 2nd ed. 2009. 238 x 162 mm. Language: English . Brand New Book. The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics. Codice libro della libreria AAZ9780387094939

Compra nuovo
EUR 48,36
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 3.The Arithmetic of Elliptic Curves (Hardback)

Editore: Springer-Verlag New York Inc., United States (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuovi Rilegato Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., United States, 2009. Hardback. Condizione libro: New. 2nd ed. 2009. 238 x 162 mm. Language: English . Brand New Book. The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics. Codice libro della libreria AAZ9780387094939

Compra nuovo
EUR 48,37
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 4.The Arithmetic of Elliptic Curves

Editore: Springer-Verlag New York Inc. 2009-05-29, New York, NY (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuovi Rilegato Quantità: > 20
Da
Blackwell's
(Oxford, OX, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc. 2009-05-29, New York, NY, 2009. hardback. Condizione libro: New. Codice libro della libreria 9780387094939

Compra nuovo
EUR 44,99
Convertire valuta
Spese di spedizione: EUR 5,38
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 5.The Arithmetic of Elliptic Curves (2nd ed. 2009)

Editore: Springer-Verlag New York Inc.
ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuovi Rilegato Quantità: 2
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc. Hardback. Condizione libro: new. BRAND NEW, The Arithmetic of Elliptic Curves (2nd ed. 2009), Joseph H. Silverman, The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics. Codice libro della libreria B9780387094939

Compra nuovo
EUR 44,82
Convertire valuta
Spese di spedizione: EUR 7,10
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 6.The Arithmetic of Elliptic Curves

Editore: Springer-Verlag New York Inc. (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuovi Quantità: 2
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., 2009. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780387094939

Compra nuovo
EUR 42,89
Convertire valuta
Spese di spedizione: EUR 10,75
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 7.Arithmetic Of Elliptic Curves, The

ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuovi Quantità: 2
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria

Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97803870949390000000

Compra nuovo
EUR 54,89
Convertire valuta
Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

## 8.The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

Editore: Springer (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuovi Rilegato Quantità: 2
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria

Descrizione libro Springer, 2009. Condizione libro: New. book. Codice libro della libreria ria9780387094939_rkm

Compra nuovo
EUR 51,02
Convertire valuta
Spese di spedizione: EUR 3,97
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 9.The Arithmetic of Elliptic Curves

Editore: Springer-Verlag New York Inc. (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuovi Rilegato Quantità: 2
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., 2009. Condizione libro: New. 2009. 2nd ed. 2009. Hardcover. The theory of elliptic curves is distinguished by the diversity of the methods used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Series: Graduate Texts in Mathematics. Num Pages: 514 pages, 14 black & white illustrations, 2 black & white tables, biography. BIC Classification: PBF; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 245 x 165 x 25. Weight in Grams: 912. . . . . . . Codice libro della libreria V9780387094939

Compra nuovo
EUR 55,20
Convertire valuta
Spese di spedizione: GRATIS
Da: Irlanda a: U.S.A.
Destinazione, tempi e costi

## 10.The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) (Hardcover)

ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuovi Quantità: 2
Da
Speedy Hen LLC
(Sunrise, FL, U.S.A.)
Valutazione libreria

Descrizione libro Condizione libro: New. Bookseller Inventory # ST0387094938. Codice libro della libreria ST0387094938

Compra nuovo
EUR 55,32
Convertire valuta
Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi